It seems there are some formatting errors and duplicated pieces in your equations. Let's clarify and solve what we can:

1. Original equations:

\[
\begin{align*}
(1) & \quad x - y = 3 \\
(2) & \quad 3x - 4y = 2
\end{align*}
\]

The statement "2x - y = 3" appears to be a repeated version of the first equation, so we'll ignore it for now.

Let's solve the system of equations:

**1. Solve for \(x\) using equation (1):**

From equation (1):
\[
x = y + 3
\]

**2. Substitute \(x = y + 3\) in equation (2):**

Substitute into equation (2):
\[
3(y + 3) - 4y = 2
\]

Distribute and simplify:
\[
3y + 9 - 4y = 2
\]
\[
-y + 9 = 2
\]

Solve for \(y\):
\[
-y = 2 - 9
\]
\[
-y = -7
\]
\[
y = 7
\]

**3. Substitute \(y = 7\) back into the expression for \(x\):**

\[
x = y + 3 = 7 + 3 = 10
\]

So, the solution to the system of equations is \(x = 10\) and \(y = 7\).